Construction of a nonlocal potential from the scattering amplitude in the born approximation

R. B. Gerber

doi:10.1016/0009-2614(73)80211-8

Construction of a nonlocal potential from the scattering amplitude in the born approximation

R. B. Gerber^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Within a framework of the Born approximation simplified by certain assumptions, a procedure is given which explicitly constructs a nonlocal potential that provides a fit to elastic scattering data. The data are assumed to consist of the scattering amplitude as a function of the momentum transfer over a finite range of energies. The constructed potential is unique only when the kernel of the nonlocal interaction is energy independent, or when its explicit energy dependence is known from information other than scattering data.

Original language	English
Pages (from-to)	436-440
Number of pages	5
Journal	Chemical Physics Letters
Volume	18
Issue number	3
DOIs	https://doi.org/10.1016/0009-2614(73)80211-8
State	Published - 1 Feb 1973
Externally published	Yes

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abstract = "Within a framework of the Born approximation simplified by certain assumptions, a procedure is given which explicitly constructs a nonlocal potential that provides a fit to elastic scattering data. The data are assumed to consist of the scattering amplitude as a function of the momentum transfer over a finite range of energies. The constructed potential is unique only when the kernel of the nonlocal interaction is energy independent, or when its explicit energy dependence is known from information other than scattering data.",

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AB - Within a framework of the Born approximation simplified by certain assumptions, a procedure is given which explicitly constructs a nonlocal potential that provides a fit to elastic scattering data. The data are assumed to consist of the scattering amplitude as a function of the momentum transfer over a finite range of energies. The constructed potential is unique only when the kernel of the nonlocal interaction is energy independent, or when its explicit energy dependence is known from information other than scattering data.

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Construction of a nonlocal potential from the scattering amplitude in the born approximation

Abstract

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